Asymptotic behavior of Tuberculosis between smokers and non-smokers

Faniran, Taye Samuel; Ali, Aatif; Adewole, Matthew O.; Adebo, Babatunde A; Akanni, Olukunmi Olatunji

doi:10.1016/j.padiff.2021.100244

Cited by 7 publications

(5 citation statements)

References 17 publications

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“…The primary goal of sensitivity analysis is to identify the critical model parameters and their significance in the occurrence and prevalence of tuberculosis. The normalized forward sensitivity index of a variable in relation to a parameter is considered as the proportion of the relative change in the variable R 0 to the relative change in the parameter [37,33,17]. In cases where the parameters are known with minimal uncertainty, we can calculate the partial derivative of the variable with respect to the parameters.…”

Section: Sensitivity Analysismentioning

confidence: 99%

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Exploring a Mathematical Model with Saturated Treatment for the Co-dynamics of Tuberculosis and Diabetes

Rasheed,

Iyiola,

Oke

et al. 2024

Preprint

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In this research, we present a deterministic epidemiological mathematical model that delves into the intricate dynamics of the co-existence of tuberculosis and diabetes. Our comprehensive analysis explores the interplay and the influence of diabetes on tuberculosis incidence within a human population segregated into diabetic and non-diabetic subgroups. The model incorporates saturated incidence rates and treatment regimens for latent tuberculosis infections, offering insights into their impact on tuberculosis control. Theoretical findings reveal the emergence of a phenomenon known as backward bifurcation, attributed to exogenous reinfection and saturated treatment. Additionally, our study employs both local and global sensitivity analyses to identify pivotal parameters crucial to the spread of tuberculosis within the population. This investigation contributes valuable insights to the understanding of the complex relationship between tuberculosis and diabetes, offering a foundation for more effective disease control strategies. 2020 MSC classification: 34A34, 92D30, 92B05, 65H10.

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Section: Sensitivity Analysismentioning

confidence: 99%

“…Sulayman and Abdullah [42] investigated the extent of saturated treatment of active TB infection in the transmission mechanism of TB. Faniran et al [17] examined the asymptotic behavior of TB in a population divided into smokers and non-smokers, with both home and public health education as control measures.…”

Section: Introductionmentioning

confidence: 99%

Exploring a Mathematical Model with Saturated Treatment for the Co-dynamics of Tuberculosis and Diabetes

Rasheed,

Iyiola,

Oke

et al. 2024

Preprint

View full text Add to dashboard Cite

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“…rough transmission dynamics, many researchers have attempted to investigate and comprehend the dynamical behavior of infectious diseases [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

New Variant of SARS‐CoV‐2 Dynamics with Imperfect Vaccine

et al. 2022

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The occurrence of a new strain of SARS-CoV-2 cannot be ruled out. Therefore, this study seeks to investigate the possible effects of a hypothetical imperfect anti-COVID-19 vaccine on the control of not only the first variant of SARS-CoV-2 but also the second (new) variant of SARS-CoV-2. We further examine the rates and a , escape of quarantined infectious individuals from isolation centers. The control R c and basic reproduction numbers R 0 are computed which gives assess to obtain asymptotic stability of disease-free equilibrium point globally and the existence of a unique persistent equilibrium solution. Numerical results reveal that people infected with the second strain who are vaccinated with an imperfect vaccine are under control but the prevalence of the second variant enhances the prevalence of the first variant. Thus, discovering a vaccine that is effective (to a good extent) for the prevention of variant 2 (new variant) is necessary for the control of COVID-19. Numerical results also reveal that increase in the rate at which individuals infected with the first variant escape the isolation center gives rise to the population infected with the first variant and lowers the peak of the population infected with the second variant. This is probably because individuals infected with the second variant appear to be more careful with their lives and get vaccinated more than individuals infected with the first variant.

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“…Both locally and internationally, the stability analysis at disease-free and disease-endemic equilibrium are computed. The authors [27,28] examined a mathematical model with slow and quick exposed cases and its impact on the model dynamics to comprehend the TB infections in the KP area of Pakistan. They also researched the fundamental math needed to model the fractional-order model.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic behavior and semi-analytic solution of a novel compartmental biological model

Sinan

Meng

Anjum

et al. 2022

mmnsa

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This study proposes a novel mathematical model of COVID-19 and its qualitative properties. Asymptotic behavior of the proposed model with local and global stability analysis is investigated by considering the Lyapunov function. The mentioned model is globally stable around the disease-endemic equilibrium point conditionally. For a better understanding of the disease propagation with vaccination in the population, we split the population into five compartments: susceptible, exposed, infected, vaccinated, and recovered based on the fundamental Kermack-McKendrick model. He's homotopy perturbation technique is used for the semi-analytical solution of the suggested model. For the sake of justification, we present the numerical simulation with graphical results.

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Asymptotic behavior of Tuberculosis between smokers and non-smokers

Cited by 7 publications

References 17 publications

Exploring a Mathematical Model with Saturated Treatment for the Co-dynamics of Tuberculosis and Diabetes

Exploring a Mathematical Model with Saturated Treatment for the Co-dynamics of Tuberculosis and Diabetes

New Variant of SARS‐CoV‐2 Dynamics with Imperfect Vaccine

Asymptotic behavior and semi-analytic solution of a novel compartmental biological model

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